A foot is approx. 1/3 of a meter. Why isn’t a sq ft 1/3rd of a sq meter?

305 views

A foot is 0,30m and a sq ft is 0,09m. I know some will say because 0,3 times 0,3 is 0,09 but that wouldn’t explain the break of logic as I perceive it.

In: 0

28 Answers

Anonymous 0 Comments

[removed]

Anonymous 0 Comments

[removed]

Anonymous 0 Comments

>I know some will say because 0,3 times 0,3 is 0,09 but that wouldn’t explain the break of logic as I perceive it.

But that is the explanation. If you split the meter into feet you split is approximately 3 equal parts. You should use 0.333… as 1/3, not 0.3 and 0.333 x 0.333 =0.1111. that is is the same as 1/(3 x 3) =1/9

A square is an area unit, not a distance unit so you need to do it alone on both axes of it. an area is a 2D unit so you need to do the same along both axes. Take a square that has a 1-meter side and take tow sides and divide them into 3 parts. Extend the point you split in and you get 9 squares

Look at [this image](https://2.bp.blogspot.com/_PnLYRqe0k9g/SrZVFIEdT8I/AAAAAAAAANA/Tn-7OIm1U1g/s320/3×3-Square-Grid.png) consider you make the large square with 1-meter sides and then smaller with 1 feet side, you can need to put rows in 3 columns to cover the square meter so 3×3 = 9 squares so it is 1/9

Try it practically by cutting paper and have one square with where the side is 1/3 of a larger square and cut enough of them to cover the larger square,

If you compare cubic feet to cubic meters you can fit 3 cubes in each direction and you need 27 cubes so 1 cubic foot is approximately 1/27 =0.037 cubic meters.

Anonymous 0 Comments

>I know some will say because 0,3 times 0,3 is 0,09 but that wouldn’t explain the break of logic as I perceive it.

But that is the explanation. If you split the meter into feet you split is approximately 3 equal parts. You should use 0.333… as 1/3, not 0.3 and 0.333 x 0.333 =0.1111. that is is the same as 1/(3 x 3) =1/9

A square is an area unit, not a distance unit so you need to do it alone on both axes of it. an area is a 2D unit so you need to do the same along both axes. Take a square that has a 1-meter side and take tow sides and divide them into 3 parts. Extend the point you split in and you get 9 squares

Look at [this image](https://2.bp.blogspot.com/_PnLYRqe0k9g/SrZVFIEdT8I/AAAAAAAAANA/Tn-7OIm1U1g/s320/3×3-Square-Grid.png) consider you make the large square with 1-meter sides and then smaller with 1 feet side, you can need to put rows in 3 columns to cover the square meter so 3×3 = 9 squares so it is 1/9

Try it practically by cutting paper and have one square with where the side is 1/3 of a larger square and cut enough of them to cover the larger square,

If you compare cubic feet to cubic meters you can fit 3 cubes in each direction and you need 27 cubes so 1 cubic foot is approximately 1/27 =0.037 cubic meters.

Anonymous 0 Comments

draw a nice 3×3 square. and make lines vertically and horizonally for each inch. now darken the lines 1 inch from a corner of choice. You’ve gone 1/3 the way each time, but the darker square is only 1/9 the size of your original square.

Anonymous 0 Comments

draw a nice 3×3 square. and make lines vertically and horizonally for each inch. now darken the lines 1 inch from a corner of choice. You’ve gone 1/3 the way each time, but the darker square is only 1/9 the size of your original square.

Anonymous 0 Comments

Have a look at this image.
https://i.guim.co.uk/img/media/5dc0fbb825e51cd744a8dfd70359f17db7edc4e6/29_60_332_199/master/332.jpg?width=140&quality=85&dpr=1&s=none

Imagine the big square is 1 m. 1 m is then divided into thirds. THe overall square is 1 m^2

Each smaller square is 0.333 x 0.333 which is 0.111 m^2. There are 9 of them in 1 m^2.

Anonymous 0 Comments

Have a look at this image.
https://i.guim.co.uk/img/media/5dc0fbb825e51cd744a8dfd70359f17db7edc4e6/29_60_332_199/master/332.jpg?width=140&quality=85&dpr=1&s=none

Imagine the big square is 1 m. 1 m is then divided into thirds. THe overall square is 1 m^2

Each smaller square is 0.333 x 0.333 which is 0.111 m^2. There are 9 of them in 1 m^2.

Anonymous 0 Comments

To visualize it:

The red square is a square foot (so around 30cm by 30cm), and the larger set of green squares is a square meter (~ 1m by 1m)

🟩🟩🟩
🟩🟩🟩
🟩🟩🟥

You can see that the red square is just one ninth the size of the larger green square.

Anonymous 0 Comments

To visualize it:

The red square is a square foot (so around 30cm by 30cm), and the larger set of green squares is a square meter (~ 1m by 1m)

🟩🟩🟩
🟩🟩🟩
🟩🟩🟥

You can see that the red square is just one ninth the size of the larger green square.